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@article{FPM_2008_14_5_a15, author = {N. S. Chernikov}, title = {Groups with minimal conditions}, journal = {Fundamentalʹna\^a i prikladna\^a matematika}, pages = {219--235}, publisher = {mathdoc}, volume = {14}, number = {5}, year = {2008}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_5_a15/} }
N. S. Chernikov. Groups with minimal conditions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 219-235. http://geodesic.mathdoc.fr/item/FPM_2008_14_5_a15/
[1] Zaitsev D. I., “Gruppy, udovletvoryayuschie slabomu usloviyu minimalnosti”, Ukr. mat. zhurn., 20:4 (1968), 472–482
[2] Zaitsev D. I., “Gruppy, udovletvoryayuschie slabomu usloviyu minimalnosti dlya neabelevykh grupp”, Ukr. mat. zhurn., 23:5 (1971), 661–665
[3] Kreknin V. A., “O razreshimosti algebr Li s regulyarnym avtomorfizmom prostogo perioda”, DAN SSSR, 150:3 (1963), 467–469 | MR | Zbl
[4] Kreknin V. A., Kostrikin A. I., “Ob algebrakh Li s regulyarnym avtomorfizmom”, DAN SSSR, 149:2 (1963), 249–251 | MR | Zbl
[5] Kurosh A. G., Teoriya grupp, Nauka, M., 1967 | MR | Zbl
[6] Olshanskii A. Yu., “Beskonechnye gruppy s tsiklicheskimi podgruppami”, DAN SSSR, 245:4 (1979), 785–787 | MR
[7] Olshanskii A. Yu., “Beskonechnaya gruppa s podgruppami prostykh poryadkov”, Izv. AN SSSR. Ser. mat., 44:2 (1980), 309–321 | MR | Zbl
[8] Olshanskii A. Yu., Geometriya opredelyayuschikh sootnoshenii v gruppakh, Nauka, M., 1989 | MR
[9] Ostylovskii A. N., Shunkov V. P., “O lokalnoi konechnosti odnogo klassa grupp s usloviem minimalnosti”, Issledovaniya po teorii grupp, In-t fiz. im. L. V. Kirenskogo SO AN SSSR, Krasnoyarsk, 1975, 32–48 | MR
[10] Plotkin B. I., Gruppy avtomorfizmov algebraicheskikh sistem, Nauka, M., 1966 | MR | Zbl
[11] Polovitskii Ya. D., “Sloino ekstremalnye gruppy”, DAN SSSR, 143:3 (1960), 533–535
[12] Popov A. M., Sozutov A. I., Shunkov V. P., Gruppy s sistemami frobeniusovykh podgrupp, Krasnoyarskii gos. tekhn. un-t, Krasnoyarsk, 2004
[13] Senashov V. I., Shunkov V. P., Gruppy s usloviyami konechnosti, Izd-vo SO RAN, Novosibirsk, 2001 | MR
[14] Sozutov A. I., Shunkov V. P., “Ob odnom obobschenii teoremy Frobeniusa na beskonechnye gruppy”, Mat. sb., 100(142):4 (1976), 495–506 | MR | Zbl
[15] Suchkova N. G., Shunkov V. P., “O gruppakh s usloviem minimalnosti do abelevykh podgrupp”, Algebra i logika, 25:4 (1986), 445–469 | MR | Zbl
[16] Chernikov N. S., “Lokalno konechnye $w\sigma A$-faktorizuemye gruppy”, Issledovaniya po teorii grupp, In-t mat. AN USSR, Kiev, 1979, 63–110
[17] Chernikov N. S., “O gruppakh s usloviyami minimalnosti dlya neabelevykh razreshimykh podgrupp”, Gruppy, opredelyaemye svoistvami sistemy podgrupp, In-t mat. AN USSR, Kiev, 1979, 57–82 | MR
[18] Chernikov N. S., “O lokalno konechnykh podgruppakh binarno konechnykh grupp”, VI-i Vsesoyuz. simp. po teorii grupp, Sb. nauch. trudov, Naukova dumka, Kiev, 1980, 115–125 | MR
[19] Chernikov S. N., “Beskonechnye lokalno razreshimye gruppy”, Mat. sb., 7(49):1 (1940), 35–64 | MR | Zbl
[20] Chernikov S. N., “K teorii beskonechnykh spetsialnykh grupp”, Mat. sb., 7(49):3 (1940), 539–548 | MR | Zbl
[21] Chernikov S. N., “Usloviya konechnosti v obschei teorii grupp”, Uspekhi mat. nauk, 14:5 (1959), 45–96 | MR | Zbl
[22] Chernikov S. N., “Beskonechnye gruppy s nekotorymi zadannymi svoistvami sistem ikh beskonechnykh podgrupp”, DAN SSSR, 159:4 (1964), 759–760 | Zbl
[23] Chernikov S. N., “O periodicheskikh gruppakh avtomorfizmov ekstremalnykh grupp”, Mat. zametki, 4:1 (1968), 91–96 | Zbl
[24] Chernikov S. N., “Gruppy s usloviem minimalnosti dlya neabelevykh podgrupp”, Gruppy s ogranicheniyami dlya podgrupp, Naukova dumka, Kiev, 1972, 96–106
[25] Chernikov S. N., Gruppy s zadannymi svoistvami sistemy podgrupp, Nauka, M., 1980 | MR
[26] Shmidt O. Yu., “Lokalnaya konechnost odnogo klassa beskonechnykh periodicheskikh grupp”, Izbrannye trudy. Matematika, Izd-vo AN SSSR, M., 1959, 298–300
[27] Shunkov V. P., “O lokalno konechnykh gruppakh s usloviem minimalnosti dlya abelevykh podgrupp”, Algebra i logika, 9:5 (1970), 575–611 | MR
[28] Shunkov V. P., “O probleme minimalnosti dlya lokalno konechnykh grupp”, Algebra i logika, 9:2 (1970), 220–248 | MR | Zbl
[29] Shunkov V. P., “Ob abstraktnykh kharakterizatsiyakh nekotorykh lineinykh grupp”, Algebra. Matritsy i matrichnye gruppy, In-t fiz. im. L. V. Kirenskogo SO AN SSSR, Krasnoyarsk, 1970, 5–54 | MR
[30] Baer R., “Finite extentions of Abelian groups with minimum conditions”, Trans. Amer. Math. Soc., 79:2 (1955), 521–540 | DOI | MR | Zbl
[31] Baer R., “Polimininimaxgruppen”, Math. Ann., 175:1 (1968), 1–43 | DOI | MR | Zbl
[32] Chernikov N. S., “Groups with the minimal conditions for nonabelian subgroups”, Zbirnik prats Inst. mat. NAN Ukraïni, 3 (2006), 423–430 | Zbl
[33] Chernikov N. S., “Artinian and Chernikov groups and groups with minimal conditions for nonabelian subgroups”, Mezhdunar. algebr. konf., posv. 100-letiyu rozhd. A. G. Kurosha, Tezisy dokladov (Moskva, 28 maya–3 iyunya 2008 g.), MGU, M., 2008, 282–283 | MR
[34] Feit W., Thompson I. G., “Solvability of groups of odd order”, Pacific J. Math., 13:3 755–1029 (1963) | MR | Zbl
[35] Higman G., “Groups and rings having automorphisms without nontrivial fixed elements”, J. London Math. Soc., 32:2 (1957), 321–334 | DOI | MR | Zbl
[36] Kegel O. H., Wehrfritz B. A. F., “Strong finiteness conditions in locally finite groups”, Math. Z., 117:1–4 (1970), 309–324 | DOI | MR | Zbl
[37] Neumann B. H., “Groups with automorphisms that leave only the neutral element fixed”, Arch. Math. (Basel), 7:1 (1956), 1–5 | MR | Zbl
[38] Robinson D. J. S., Finiteness Conditions and Generalized Soluble Groups, Pt. 1, Springer, Berlin, 1972
[39] Thompson J. G., “Finite groups with fixed point-free automorphisms of prime order”, Proc. Nat. Acad. Sci. USA, 45:4 (1959), 578–582 | DOI | MR
[40] Wehrfritz B. A. F., Infinite Linear Groups, Springer, Berlin, 1973 | MR | Zbl